Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping
نویسندگان
چکیده
منابع مشابه
Strong convergence of variational inequality problem Over the set of common fixed points of a family of demi-contractive mappings
In this paper, by using the viscosity iterative method and the hybrid steepest-descent method, we present a new algorithm for solving the variational inequality problem. The sequence generated by this algorithm is strong convergence to a common element of the set of common zero points of a finite family of inverse strongly monotone operators and the set of common fixed points of a finite family...
متن کاملSolutions of variational inequalities on fixed points of nonexpansive mappings
n this paper , we propose a generalized iterative method forfinding a common element of the set of fixed points of a singlenonexpannsive mapping and the set of solutions of two variationalinequalities with inverse strongly monotone mappings and strictlypseudo-contractive of Browder-Petryshyn type mapping. Our resultsimprove and extend the results announced by many others.
متن کاملAcceleration method for convex optimization over the fixed point set of a nonexpansive mapping
The existing algorithms for solving the convex minimization problem over the fixed point set of a nonexpansive mapping on a Hilbert space are based on algorithmic methods, such as the steepest descent method and conjugate gradient methods, for finding a minimizer of the objective function over the whole space, and attach importance to minimizing the objective function as quickly as possible. Me...
متن کاملApproximating fixed points of nonexpansive mappings and solving systems of variational inequalities
A new approximation method for the set of common fixed points of nonexpansive mappings and the set of solutions of systems of variational inequalities is introduced and studied. Moreover, we apply our main result to obtain strong convergence theorem to a common fixed point of a nonexpannsive mapping and solutions of a system of variational inequalities of an inverse strongly mono...
متن کاملFixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive mappings without common fixed point assumption
Let E be a real Banach space with a uniformly Gâteaux differentiable norm and which possesses uniform normal structure, K a nonempty bounded closed convex subset of E, {Ti}i=1 a finite family of asymptotically nonexpansive self-mappings on K with common sequence {kn}∞n=1 ⊂ [1,∞), {tn}, {sn} be two sequences in (0, 1) such that sn + tn = 1 (n ≥ 1) and f be a contraction on K . Under suitable con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2014
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2014-51